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Finding the Fourth Proportional to 825.72, 1,140.24 and 531.68

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Solution

The fourth proportional to 825.72, 1,140.24 and 531.68 is: 734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.72 : 1,140.24 = 531.68 : x
  2. Step 2: Convert to fraction form
    825.72/1,140.24 = 531.68/x
  3. Step 3: Cross multiply
    825.72x = 1,140.24 × 531.68
  4. Step 4: Simplify right side
    825.72x = 606,242.80
  5. Step 5: Solve for x
    x = 606,242.80/825.72
  6. Step 6: Final answer
    x = 734.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.